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Finding the Third Proportional to 12,200 and 24,614

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Solution

The third proportional to 12,200 and 24,614 is: 49,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 24,614 = 24,614 : x
  2. Step 2: Convert to fraction form
    12,200/24,614 = 24,614/x
  3. Step 3: Cross multiply
    12,200x = 24,614 × 24,614
  4. Step 4: Simplify right side
    12,200x = 605,848,996
  5. Step 5: Solve for x
    x = 605,848,996/12,200
  6. Step 6: Final answer
    x = 49,659.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.